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While Graph Neural Networks (GNNs) have been successfully leveraged for learning on graph-structured data across domains, several potential pitfalls have been described recently. Those include the inability to accurately leverage…

Machine Learning · Computer Science 2024-03-21 Lukas Fesser , Melanie Weber

Graph Neural Networks (GNNs) have shown great power for learning and mining on graphs, and Graph Structure Learning (GSL) plays an important role in boosting GNNs with a refined graph. In the literature, most GSL solutions either primarily…

Machine Learning · Computer Science 2024-01-24 Li Sun , Zhenhao Huang , Hua Wu , Junda Ye , Hao Peng , Zhengtao Yu , Philip S. Yu

Most graph neural networks (GNNs) use the message passing paradigm, in which node features are propagated on the input graph. Recent works pointed to the distortion of information flowing from distant nodes as a factor limiting the…

Most graph neural networks (GNNs) are prone to the phenomenon of over-squashing in which node features become insensitive to information from distant nodes in the graph. Recent works have shown that the topology of the graph has the…

Machine Learning · Computer Science 2023-11-30 Julia Balla

Graph neural network (GNN) has been demonstrated powerful in modeling graph-structured data. However, despite many successful cases of applying GNNs to various graph classification and prediction tasks, whether the graph geometrical…

Machine Learning · Computer Science 2023-07-20 Dai Shi , Yi Guo , Zhiqi Shao , Junbin Gao

Networks with higher-order interactions, prevalent in biological, social, and information systems, are naturally represented as hypergraphs, yet their structural complexity poses fundamental challenges for geometric characterization. While…

Machine Learning · Computer Science 2025-06-05 Shiyi Yang , Can Chen , Didong Li

Networks and their higher order generalizations, such as hypernetworks or multiplex networks are ever more popular models in the applied sciences. However, methods developed for the study of their structural properties go little beyond the…

Discrete Mathematics · Computer Science 2018-10-19 Emil Saucan , Melanie Weber

Graph Neural Networks (GNNs) had been demonstrated to be inherently susceptible to the problems of over-smoothing and over-squashing. These issues prohibit the ability of GNNs to model complex graph interactions by limiting their…

Machine Learning · Computer Science 2023-06-01 Khang Nguyen , Hieu Nong , Vinh Nguyen , Nhat Ho , Stanley Osher , Tan Nguyen

Graph Neural Networks (GNN) have been extensively used to extract meaningful representations from graph structured data and to perform predictive tasks such as node classification and link prediction. In recent years, there has been a lot…

Image and Video Processing · Electrical Eng. & Systems 2020-07-10 Arijit Sehanobish , Neal G. Ravindra , David van Dijk

Graph Neural Networks (GNNs) revolutionize machine learning for graph-structured data, effectively capturing complex relationships. They disseminate information through interconnected nodes, but long-range interactions face challenges known…

Artificial Intelligence · Computer Science 2025-03-18 Singh Akansha

In contrast to graph-based models for complex networks, hypergraphs are more general structures going beyond binary relations of graphs. For graphs, statistics gauging different aspects of their structures have been devised and there is…

Discrete Mathematics · Computer Science 2019-03-01 Wilmer Leal , Guillermo Restrepo , Peter F. Stadler , Jürgen Jost

Neuro-symbolic reasoning systems face fundamental challenges in maintaining semantic coherence while satisfying physical and logical constraints. Building upon our previous work on Ontology Neural Networks, we present an enhanced framework…

Machine Learning · Computer Science 2026-01-12 Jaehong Oh

Graph Neural Networks (GNNs) have succeeded in various computer science applications, yet deep GNNs underperform their shallow counterparts despite deep learning's success in other domains. Over-smoothing and over-squashing are key…

Machine Learning · Computer Science 2023-08-14 Jhony H. Giraldo , Konstantinos Skianis , Thierry Bouwmans , Fragkiskos D. Malliaros

Graph neural networks (GNNs) have emerged as a powerful tool for graph classification and representation learning. However, GNNs tend to suffer from over-smoothing problems and are vulnerable to graph perturbations. To address these…

Machine Learning · Computer Science 2021-11-01 Yuzhou Chen , Baris Coskunuzer , Yulia R. Gel

The irreducible complexity of natural phenomena has led Graph Neural Networks to be employed as a standard model to perform representation learning tasks on graph-structured data. While their capacity to capture local and global patterns is…

Machine Learning · Computer Science 2024-02-13 Lorenzo Giusti

The human brain forms functional networks on all spatial scales. Modern fMRI scanners allow to resolve functional brain data in high resolutions, allowing to study large-scale networks that relate to cognitive processes. The analysis of…

Neurons and Cognition · Quantitative Biology 2019-05-14 Melanie Weber , Johannes Stelzer , Emil Saucan , Alexander Naitsat , Gabriele Lohmann , Jürgen Jost

Graph neural networks (GNNs) have achieved strong performance across various real-world domains. Nevertheless, they suffer from oversquashing, where long-range information is distorted as it is compressed through limited message-passing…

Machine Learning · Computer Science 2026-04-03 Tanvir Hossain , Muhammad Ifte Khairul Islam , Lilia Chebbah , Charles Fanning , Esra Akbas

Graph neural networks (GNNs) are able to leverage the structure of graph data by passing messages along the edges of the graph. While this allows GNNs to learn features depending on the graph structure, for certain graph topologies it leads…

Machine Learning · Computer Science 2023-02-17 Kedar Karhadkar , Pradeep Kr. Banerjee , Guido Montúfar

Graph Neural Networks are powerful models for learning from graph-structured data, yet their effectiveness is often limited by two critical challenges: over-squashing, where information from distant nodes is excessively compressed, and…

Machine Learning · Computer Science 2026-05-05 Hugo Attali , Nathalie Pernelle , Davide Buscaldi , Fragkiskos D. Malliaros

Graph Neural Networks are powerful models for learning from graph-structured data, yet their effectiveness is often limited by two critical challenges: over-squashing, where information from distant nodes is excessively compressed, and…

Machine Learning · Computer Science 2026-05-04 Hugo Attali , Davide Buscaldi , Nathalie Pernelle , Fragkiskos D. Malliaros
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